Quasigroups and loops: Introduction by Hala O. Pflugfelder

The illustration concept of finite teams has visible quick progress lately with the advance of effective algorithms and desktop algebra structures. this is often the 1st publication to supply an creation to the standard and modular illustration thought of finite teams with distinctive emphasis at the computational facets of the topic.

This is often the second one of 3 volumes dedicated to easy finite p-group conception. just like the 1st quantity, 1000's of significant effects are analyzed and, in lots of circumstances, simplified. very important themes provided during this monograph contain: (a) class of p-groups all of whose cyclic subgroups of composite orders are common, (b) category of 2-groups with precisely 3 involutions, (c) proofs of Ward's theorem on quaternion-free teams, (d) 2-groups with small centralizers of an involution, (e) class of 2-groups with precisely 4 cyclic subgroups of order 2n > 2, (f) new proofs of Blackburn's theorem on minimum nonmetacyclic teams, (g) type of p-groups all of whose subgroups of index pÂ² are abelian, (h) class of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) p-groups with cyclic subgroups of index pÂ² are labeled.

George Mackey was once a rare mathematician of serious strength and imaginative and prescient. His profound contributions to illustration concept, harmonic research, ergodic thought, and mathematical physics left a wealthy legacy for researchers that maintains at the present time. This ebook relies on lectures awarded at an AMS exact consultation held in January 2007 in New Orleans devoted to his reminiscence.